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Delay-independent Stability of Cone-invariant Monotone Systems
KTH, School of Electrical Engineering (EES), Automatic Control.ORCID iD: 0000-0003-1149-4715
KTH, School of Electrical Engineering (EES), Automatic Control.
KTH, School of Electrical Engineering (EES), Automatic Control.
2015 (English)In: 54th IEEE Conference on Decision and Control (CDC), IEEE , 2015, 6361-6366 p.Conference paper (Refereed)
Abstract [en]

Recent results in the literature have shown that particular classes of positive systems are insensitive to time-varying delays, giving the impression that the delay-insensitivity property stems from the fact that the system is positive. Nonetheless, it has been lately shown that a linear cone-invariant system is insensitive to time-varying delays, asserting that the property of delay-independence may stem from the fact that the system is cone-invariant rather than positive. In this paper, we provide additional evidence for this claim by analyzing the stability of cone-invariant monotone systems with bounded time-varying delays. We present a set of sufficient conditions for delay independent stability of discrete- and continuous-time cone-invariant monotone systems. For linear cone-invariant systems, we show that thestability conditions we have derived are also necessary.

Place, publisher, year, edition, pages
IEEE , 2015. 6361-6366 p.
Keyword [en]
Positive system, Stability, Cone, Delay
National Category
Engineering and Technology
URN: urn:nbn:se:kth:diva-183456DOI: 10.1109/CDC.2015.7403221ScopusID: 2-s2.0-84961990693OAI: diva2:911485
CDC 2015

QC 20160314

Available from: 2016-03-12 Created: 2016-03-12 Last updated: 2016-03-14Bibliographically approved

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